990017952
990,017,952 is an even composite number composed of six prime numbers multiplied together.
990017952 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 990017952:
25 × 3 × 72 × 11 × 192 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 19 × 19 × 53)See below for interesting mathematical facts about the number 990017952 from the Numbermatics database.
Names of 990017952
- Cardinal: 990017952 can be written as Nine hundred ninety million, seventeen thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 9.90017952 × 108
Factors of 990017952
Divisors of 990017952
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 42 44 48 49 53 56 57 66 76 77 84 88 96 98 106 112 114 132 133 147 152 154 159 168 176 196 209 212 224 228 231 264 266 294 304 308 318 336 352 361 371 392 399 418 424 456 462 528 532 539 583 588 608 616 627 636 672 722 742 784 798 836 848 912 924 931 1007 1056 1064 1078 1083 1113 1166 1176 1232 1254 1272 1444 1463 1484 1568 1596 1617 1672 1696 1749 1824 1848 1862 2014 2128 2156 2166 2226 2332 2352 2464 2508 2527 2544 2597 2793 2888 2926 2968 3021 3192 3234 3344 3498 3696 3724 3971 4028 4081 4256 4312 4332 4389 4452 4664 4704 5016 5054 5088 5194 5586 5776 5852 5936 6042 6384 6468 6688 6996 7049 7392 7448 7581 7791 7942 8056 8162 8624 8664 8778 8904 9328 10032 10108 10241 10388 11077 11172 11552 11704 11872 11913 12084 12243 12768 12936 13992 14098 14896 15162 15582 15884 16112 16324 17248 17328 17556 17689 17808 18656 19133 20064 20216 20482 20776 21147 22154 22344 23408 23826 24168 24486 25872 27797 27984 28196 28567 29792 30324 30723 31164 31768 32224 32648 33231 34656 35112 35378 35616 38266 40432 40964 41552 42294 44308 44688 46816 47652 48336 48972 49343 51744 53067 55594 55968 56392 57134 57399 60648 61446 62328 63536 65296 66462 70224 70756 76532 77539 80864 81928 83104 83391 84588 85701 88616 89376 95304 96672 97944 98686 106134 111188 112784 114268 114798 121296 122892 124656 127072 130592 132924 133931 140448 141512 148029 153064 155078 163856 166782 169176 171402 177232 190608 194579 195888 197372 210463 212268 222376 225568 228536 229596 232617 242592 245784 249312 265848 267862 283024 296058 306128 310156 327712 333564 338352 342804 354464 381216 389158 391776 394744 401793 420926 424536 444752 457072 459192 465234 491568 531696 535724 542773 566048 583737 592116 612256 620312 631389 667128 676704 685608 778316 789488 803586 841852 849072 889504 914144 918384 930468 937517 983136 1063392 1071448 1085546 1167474 1184232 1240624 1262778 1334256 1371216 1473241 1556632 1578976 1607172 1628319 1683704 1698144 1836768 1860936 1875034 2142896 2171092 2334948 2368464 2481248 2525556 2668512 2742432 2812551 2946482 3113264 3214344 3256638 3367408 3721872 3750068 4285792 4342184 4419723 4669896 4736928 5051112 5625102 5892964 6226528 6428688 6513276 6734816 7443744 7500136 8684368 8839446 9339792 10102224 10312687 11250204 11785928 12857376 13026552 15000272 17368736 17678892 18679584 20204448 20625374 22500408 23571856 26053104 30000544 30938061 35357784 41250748 45000816 47143712 52106208 61876122 70715568 82501496 90001632 123752244 141431136 165002992 247504488 330005984 495008976 990017952
- Sum of all divisors σ(n): 3546299232
- Sum of proper divisors (its aliquot sum) s(n): 2556281280
- 990017952 is an abundant number, because the sum of its proper divisors (2556281280) is greater than itself. Its abundance is 1566263328
Bases of 990017952
- Binary: 1110110000001001111001101000002
- Hexadecimal: 0x3B0279A0
- Base-36: GDFIQO
Squares and roots of 990017952
- 990017952 squared (9900179522) is 980135545282274304
- 990017952 cubed (9900179523) is 970351785222760468348305408
-
The
square root of 990017952 is 31464.5507198181 -
The
cube root of 990017952 is 996.6615176049
Scales and comparisons
How big is 990017952?- 990,017,952 seconds is equal to 31 years, 24 weeks, 6 days, 12 hours, 59 minutes, 12 seconds.
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To count from 1 to 990,017,952 would take you about forty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 990017952 cubic inches would be around 83.1 feet tall.
Recreational maths with 990017952
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